Design: Blocked Cluster RCT, with 3 levels, and randomization done at level 2 (school level).
Models: random and fixed treatment effects.
Default parameters:
Parameters by model type:
\(\bar{n}\) = 100
\(\bar{n}\) = 75
\(R^2_1 =\) 0.6, 0.6, 0.6
\(R^2_2 =\) 0.6, 0.6, 0.6
\(R^2_3 =\) 0.6, 0.6, 0.6
\(R^2_1 =\) 0, 0, 0 \(R^2_2 =\) 0, 0, 0 \(R^2_3 =\) 0, 0, 0
\(\rho =\) 0.2
\(\rho =\) 0.8
ATE (ES) = 0.125, 0, 0
\(\text{ICC}_2\) = 0.7, 0.7, 0.7
\(\text{ICC}_3\) = 0.7, 0.7, 0.7
\(\text{ICC}_2\) = 0, 0, 0
## NULL
## NULL
\(\text{ICC}_2\) = 0.2, 0.2, 0.2
\(\omega_3\) = 0.8
\(\omega_3\) = 0 \(\text{ICC}_3\) = 0.2, 0.2, 0.2
\(\omega_3\) = 0.8 \(\text{ICC}_3\) = 0.7, 0.7, 0.7
\(\kappa\) = 0.4
## NULL
##
##
## +------------+---------------+---------------+-------------+
## | MTP | Adjusted MDES | D1indiv Power | Target MDES |
## +============+===============+===============+=============+
## | rawp | 0.077 | 0.138 | 0.125 |
## +------------+---------------+---------------+-------------+
## | Bonferroni | 0.125 | 0.138 | 0.125 |
## +------------+---------------+---------------+-------------+
## | BH | 0.125 | 0.222 | 0.125 |
## +------------+---------------+---------------+-------------+
## | Holm | 0.123 | 0.167 | 0.125 |
## +------------+---------------+---------------+-------------+
##
## Table: d3.2_m3rr2rc
##
##
## +------+-------------+-------------+---------------+
## | MTP | Sample type | Sample size | D1indiv power |
## +======+=============+=============+===============+
## | BH | J | 30 | 0.221 |
## +------+-------------+-------------+---------------+
## | Holm | J | 30 | 0.172 |
## +------+-------------+-------------+---------------+
##
## Table: d3.2_m3rr2rc
##
##
## +------+-------------+-------------+---------------+
## | MTP | Sample type | Sample size | D1indiv power |
## +======+=============+=============+===============+
## | BH | K | 11 | 0.223 |
## +------+-------------+-------------+---------------+
## | Holm | K | 10 | 0.171 |
## +------+-------------+-------------+---------------+
##
## Table: d3.2_m3rr2rc
##
##
## +------+-------------+-------------+---------------+
## | MTP | Sample type | Sample size | D1indiv power |
## +======+=============+=============+===============+
## | BH | nbar | 4472 | 0.232 |
## +------+-------------+-------------+---------------+
## | Holm | nbar | 5700 | 0.184 |
## +------+-------------+-------------+---------------+
##
## Table: d3.2_m3rr2rc